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Chapter 4: Q. 35 (page 225)

In Problems 31鈥� 42, graph each rational function using transformations.

H(x)=-2(x+1)

Short Answer

Expert verified

The graph of the function H(x)=-2(x+1)is:

Step by step solution

01

Step 1. Given

The functionH(x)=-2(x+1)

To graph the function.

02

Step 2. Graph the parent function

Graph the basic function y=1x

03

Step 3. Graph the function by shifting.

Replace y=1xby

y=1x+1, so that the graph shift horizontally left to one unit.

04

Step 4. Replace y=1x+1 by y=-2x+1

Replace y=1x+1by

y=-2x+1so that the graph stretched by the factor 2and reflected about x-axis.

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